Federal Attorney-General Mark Dreyfus has declined to say if the breach took place.

"There's a great deal of intelligence material, espionage-related material that we don't comment on," he said.

"The more that is disclosed about what's known about espionage activity in Australia or operational aspects in counter-intelligence, the more that our opponents, people who are engaging in espionage, will know about our capability and know about the methods that we have for detecting espionage or cyber threats."

The director of the Centre for Internet Safety, Alastair MacGibbon, says the Government should be more open about what has happened.

"There have been probably many breaches of Government agencies but we don't have a culture in this country of talking about it," he said.

Professor Des Ball from the Australian National University's Strategic and Defence Studies Centre has told the program the theft of the ASIO building's blueprints is particularly significant.

"Once you get those building plans you can start constructing your own wiring diagrams, where the linkages are through telephone connections, through wi-fi connections, which rooms are likely to be the ones that are used for sensitive conversations, how to surreptitiously put devices into the walls of those rooms," he said.